Hope this isn’t too difficult, my teacher said to show you're work... so I hope you don’t mind explaining how you found it.

Answer:
3/4 / 1/6
keep the first fraction the same
3/4
flip the second fraction
6/1
change the division to a multiplication it should then read
3/4 X 6/1
now multiply the fractions
3 X 6 = 18
4 X 1 = 4
18/4 this can then be turned into a mixed number.
there are four 4's in 18 with two left over. so it becomes
4 2/4 and simplified 4 1/2.